Least Common Multiple of 42/756, 930/336, 388/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/756, 930/336, 388/838 quickly i.e. 631470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/756, 930/336, 388/838 is 631470.

LCM(42/756, 930/336, 388/838) = 631470

LCM of 42/756, 930/336, 388/838

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 42/756,930/336,388/838

Given numbers are 42/756,930/336,388/838

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 42,930,388

Least Common Multiple of Numerators i.e. LCM of 42,930,388 is 1262940.

GCF of Denominators means GCF of 756,336,838 as per the given fractions.

GCF of 756,336,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,930,388

LCM of Fractions 42/756,930/336,388/838 is 631470

2 42, 930, 388
3 21, 465, 194
7, 155, 194

∴ So the LCM of the given numbers is 2 x 3 x 7 x 155 x 194 = 1262940

Least Common Multiple of 42,930,388 with GCF Formula

Least Common Multiple of 42,930,388 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,930,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,930,388) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(42,930,388) x common factors =2 x 6 = 12

LCM(42,930,388) = ( 42 × 930 × 388 ) / 12

LCM(42,930,388) = 15155280 / 12

LCM(42,930,388) = 1262940


Lets's calculate GCF of 756,336,838

2 756, 336, 838
378, 168, 419

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1262940/2

Therefore the LCM of Fractions 42/756,930/336,388/838 is 631470

Greatest Common Factor of 756,336,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,336,838 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 756,336,838 . The biggest common factor number is the GCF number.
So the greatest common factor 756,336,838 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 42/756, 930/336, 388/838

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 42/756, 930/336, 388/838?

Answer: LCM of Numerators as per given numbers 42/756, 930/336, 388/838 is

LCM of Numerators i.e. for 42,930,388 is 1262940

GCF of denominators i.e. for 756,336,838 is 2.

Thus, LCM of Fractions is 631470.Finally, LCM of Fractions for 42/756, 930/336, 388/838 is 631470.